A note on a theorem of C. L. Siegel concerning Bessel's equation
Steven B. Bank (1982)
Compositio Mathematica
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Steven B. Bank (1982)
Compositio Mathematica
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Si Duc Quang (2013)
Annales Polonici Mathematici
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We study algebraic dependences of three meromorphic mappings which share few moving hyperplanes without counting multiplicity.
Ilpo Laine, Gary G. Gundersen (1990)
Mathematica Scandinavica
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Li Kam Shun, Chan Wai Leung (1992)
Mathematica Scandinavica
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Alois Klíč (1975)
Časopis pro pěstování matematiky
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Thomas Nopper, Rolf Wallisser (2001)
Journal de théorie des nombres de Bordeaux
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In this paper we discuss two theorems on meromorphic functions of Nikishin and Chudnovsky. Our purpose is to show, how to derive some well-known but not obvious results on irrationality in a systematic and simple way from properties of meromorphic functions with arithmetic conditions. As far as it stands, we have no new results on irrationality, to the contrary some results on numbers of the corollaries are known already since a long time to be transcendental (cf. [4], [9] and [10])....
Domínguez, Patricia (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Ilpo Laine, He Yuzan (1986)
Mathematica Scandinavica
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M. Krakowski (1970)
Applicationes Mathematicae
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Ilpo Laine, Steven Bank (1977)
Mathematica Scandinavica
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Indrajit Lahiri (1999)
Annales Polonici Mathematici
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We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.